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172423680 = 29351113157
BaseRepresentation
bin10100100011011…
…11101000000000
3110000110000211020
422101233220000
5323120024210
625035345440
74162401642
oct1221575000
9400400736
10172423680
1189368510
12498b2280
1329950560
1418c84892
151020d770
hexa46fa00

172423680 has 320 divisors, whose sum is σ = 651708288. Its totient is φ = 38338560.

The previous prime is 172423661. The next prime is 172423717. The reversal of 172423680 is 86324271.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098162 + ... + 1098318.

Almost surely, 2172423680 is an apocalyptic number.

172423680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325854144).

172423680 is an abundant number, since it is smaller than the sum of its proper divisors (479284608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172423680 is a wasteful number, since it uses less digits than its factorization.

172423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 172423680 is about 13131.0197623795. The cubic root of 172423680 is about 556.5860322008.

The spelling of 172423680 in words is "one hundred seventy-two million, four hundred twenty-three thousand, six hundred eighty".